1050735000 has 160 divisors (see below), whose sum is σ = 3751799040. Its totient is φ = 240144000.

The previous prime is 1050734999. The next prime is 1050735029. The reversal of 1050735000 is 5370501.

It is a happy number.

1050735000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1050735000² = 2208088080450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99997 + ... + 110003.

It is an arithmetic number, because the mean of its divisors is an integer number (23448744).

Almost surely, 2^1050735000 is an apocalyptic number.

1050735000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875899520).

1050735000 is an abundant number, since it is smaller than the sum of its proper divisors (2701064040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1050735000 is a wasteful number, since it uses less digits than its factorization.

1050735000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10043 (or 10024 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 1050735000 is about 32415.0428042290. The cubic root of 1050735000 is about 1016.6334606492.

The spelling of 1050735000 in words is "one billion, fifty million, seven hundred thirty-five thousand".